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BS-矩阵线性互补问题误差界的一个新估计式
引用本文:周翠玲,莫宏敏.BS-矩阵线性互补问题误差界的一个新估计式[J].吉首大学学报(自然科学版),2021,42(2):31-37.
作者姓名:周翠玲  莫宏敏
作者单位:(吉首大学数学与统计学院,湖南 吉首 416000)
基金项目:国家自然科学基金资助项目(11461027);吉首大学研究生科研项目(JDY20055)
摘    要:根据BS-矩阵的特殊结构和性质,利用严格对角占优M-矩阵的逆的无穷大范数范围,结合不等式的放缩技巧,改进了BS-矩阵线性互补问题的误差界估计式.理论分析和数值算例均验证了新估计式的有效性.

关 键 词:误差界  线性互补问题  Bs-矩阵  估计式

New Estimate of Error Bounds for Linear Complementarity Problems of Bs-Matrices
ZHOU Cuiling,MO Hongmin.New Estimate of Error Bounds for Linear Complementarity Problems of Bs-Matrices[J].Journal of Jishou University(Natural Science Edition),2021,42(2):31-37.
Authors:ZHOU Cuiling  MO Hongmin
Institution:(College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China)
Abstract:According to the special structure and properties of BS-matrices, new error bounds for the linear complementarity problem of BS-matrices is improved by using the infinite norm range of inverse of a strictly diagonally dominant M-matrix and the scaling technique ofinequality. The validity of the new estimate is verified by theoretical analysis and numerical example.
Keywords:error bounds                                                                                                                        linear complementarity problem                                                                                                                        BS-matrix" target="_blank">BS-matrix')">BS-matrix                                                                                                                        estimate
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